Home
Class 12
MATHS
If roots of the equation x^2-2ax+a^2+a-3...

If roots of the equation `x^2-2ax+a^2+a-3=0` are real and less than 3 then `a) a lt 2` b)`2 le a le 3` c) `3 l3 a le 4` d)` a gt 4`

A

`a lt 2`

B

`2 le a le 3`

C

`3 lt a le 4`

D

`a gt 4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If roots of the equation x^(2)-2ax+a^(2)+a-3=0 are real and less than 3 then a)a 4

If the roots of the equation x^(2)-4ax+4a^(2)+2a-3=0 are real and less than 3, then

If the roots of the equation x^(2)-2ax+a^(2)-a-3=0 are real and less than 3, then (a)a<2 b.2<-a<=3 c.34^(@)

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

The values of a which make the expression x^2-ax +1-2a^2 always positive for real values of x are- A. -2/3 lt a lt 2/3 B. -2/3 le a le 2/3 C. -2/3 le a le 1 D. 0 lt a lt 2/3

Solve the inequation 2le|x-3|le4

RESONANCE-DPP-QUESTION
  1. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  2. STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2...

    Text Solution

    |

  3. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

    Text Solution

    |

  4. A dictionary is made of the words that can be the position of the word...

    Text Solution

    |

  5. In how any ways can 8 different books be distributed among 3 students ...

    Text Solution

    |

  6. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  7. If the line y = x cuts the curve x^(3) + 3y^(3) - 30xy + 72x - 55 = 0 ...

    Text Solution

    |

  8. The interior angle bisector of angle A for the triangle ABC whose coor...

    Text Solution

    |

  9. The vertices of a triangle are A(x1,x1 tan alpha), B (x2,x2 tan Beta) ...

    Text Solution

    |

  10. The sides of a triangle are the straight lines x +y = 1 , 7y = x and y...

    Text Solution

    |

  11. If S(n) = sum(r=1)^(n) (r )/(1.3.5.7"……"(2r+1)), then

    Text Solution

    |

  12. If (3sqrt(3)+5)^n=p+f. where p is an integer and f is a proper fractio...

    Text Solution

    |

  13. A is a set containing n elements . A subet of A is chosen at random...

    Text Solution

    |

  14. A is a set containing n elements. A subset P of A is chosen. The set A...

    Text Solution

    |

  15. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |

  16. If S(n) = sum(r=0)^(n) (1)/(""^(n)C(r)) and t(n) =sum(r=0)^(n) (r )/("...

    Text Solution

    |

  17. If the equaion x^(2) + ax+ b = 0 has distinct real roots and x^(2) + a...

    Text Solution

    |

  18. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  19. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  20. If N = 6 m then :

    Text Solution

    |